Automorphisms of rational manifolds of positive entropy with Siegel disks

被引：5

作者：

Oguiso, Keiji ^{[1
,2
]}

Perroni, Fabio ^{[3
]}

机构：

[1] Osaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan

[2] Korea Inst Adv Study, Seoul 130722, South Korea

[3] Univ Bayreuth, Math Inst, Lehrstuhl Math 8, D-95440 Bayreuth, Germany

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2011年 / 22卷 / 04期

关键词：

Rational manifolds; automorphisms of positive entropy; Siegel disks; DYNAMICS;

D O I：

10.4171/RLM/610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using McMullen's rational surface automorphisms, we construct projective rational manifolds of higher dimension admitting automorphisms of positive entropy with arbitrarily high number of Siegel disks and those with exactly one Siegel disk.

引用

页码：487 / 504

页数：18

共 16 条

[1]

[Anonymous], 2009, J DIFFER GEOM, V82, P691

[2]

[Anonymous], 1995, J. Fourier Anal. Appl

[3]

Bedford E., ARXIV11011614

[4] Periodicities in linear fractional recurrences: Degree growth of birational surface maps [J].

Bedford, Eric ;

Kim, Kyounghee .

MICHIGAN MATHEMATICAL JOURNAL, 2006, 54 (03) :647-670

[5] Dynamics of Rational Surface Automorphisms: Linear Fractional Recurrences [J].

Bedford, Eric ;

Kim, Kyounghee .

JOURNAL OF GEOMETRIC ANALYSIS, 2009, 19 (03) :553-583

[6]

Dinh TC, 2004, DUKE MATH J, V123, P311

[7]

Dolgachev I., 1988, Asterisque, V165

[8] Cyclotomic factors of Coxeter polynomials [J].

Gross, Benedict H. ;

Hironaka, Eriko ;

McMullen, Curtis T. .

JOURNAL OF NUMBER THEORY, 2009, 129 (05) :1034-1043

[9]

KATOK A., 1995, Introduction to the Modern Theory of Dynamical Systems

[10]

Katz S., 1999, MATH SURVEYS MONOGRA, V68

← 1 2 →